On Tikhonov Functionals Penalized by Bregman Distances
- Ismael Bleyer ismaelbleyer@gmail.com
- A. Leitão acgleitao@gmail.com
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Abstract
We investigate Tikhonov regularization methods for linear and nonlinear ill-posed problems in Banach spaces, where the penalty term is described by Bregman distances. We prove convergence and stability results. Moreover, using appropriate source conditions, we are able to derive rates of convergence in terms of Bregman distances. We also analyze an iterated Tikhonov method for nonlinear problems, where the penalization is given by an appropriate convex functional.
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Published
2009-12-01
How to Cite
[1]
I. Bleyer and A. Leitão, “On Tikhonov Functionals Penalized by Bregman Distances”, CUBO, vol. 11, no. 5, pp. 99–115, Dec. 2009.
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